Trigonometry Examples

Simplify sin(x)+3tan(x)cot(x)-1/(csc(x))-sec(x)^2+tan(x)^2
Step 1
Simplify with factoring out.
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Step 1.1
Move .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 1.4
Factor out of .
Step 2
Apply pythagorean identity.
Step 3
Simplify terms.
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Step 3.1
Simplify each term.
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Step 3.1.1
Rewrite in terms of sines and cosines, then cancel the common factors.
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Step 3.1.1.1
Add parentheses.
Step 3.1.1.2
Reorder and .
Step 3.1.1.3
Rewrite in terms of sines and cosines.
Step 3.1.1.4
Cancel the common factors.
Step 3.1.2
Multiply by .
Step 3.1.3
Rewrite in terms of sines and cosines.
Step 3.1.4
Multiply by the reciprocal of the fraction to divide by .
Step 3.1.5
Multiply by .
Step 3.1.6
Multiply by .
Step 3.2
Simplify by adding terms.
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Step 3.2.1
Combine the opposite terms in .
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Step 3.2.1.1
Subtract from .
Step 3.2.1.2
Add and .
Step 3.2.2
Subtract from .